Abstract
The paper suggests that quantum relativistic gravity (QRG) is basically a higher dimensionality (HD) simulating relativity and non-classical effects plus a fractal Cantorian spacetime geometry (FG) simulating quantum mechanics. This more than just a conceptual equation is illustrated by integer approximation and an exact solution of the dark energy density behind cosmic expansion.
Highlights
Post modernistic research in theoretical physics [1]-[20] notably that connected to superstrings [21]-[25], loop quantum gravity [26] [27], fractal-Cantorian spacetime [28]-[30], M-theory [24] [30] [31] and a host of other theories [1] [2] [17]-[19] is most if not all pointing towards a rather firm fact that higher dimensionality and fractal geometry can be used to simulate relativity as well as quantum mechanics and possibly replace them, at least partially and at a minimum in basic situations where relativity and quantum mechanics are both relevant in equal measure [1]-[4] [32] [33]
For two important reasons the preceding rough result is truly striking. First it is quite close, very close to highly accurate cosmic measurements and observations connected to the famous COBE, WMAP and Type 1a Supernova [33] [39] which was awarded the Nobel Prize in Physics or Cosmology in 2011
D (Menger spon= ge) = n20 2.726833028 (22). This fractal, it looks like a cubic sponge in 3D is essentially a curve, not a real 3D and possesses in our case the disadvantage of being continuous and could be expected to deliver a good approximation only because continuity violates one of our main E-infinity theory principles, namely being the “pointless” point-set theory as emphasized in the pioneering work of von Neumann’s continuous geometry where continuity is not referring to the geometry [34] [39] [47] but to the spectrum of the most important topological invariant of a manifold, namely the dimension
Summary
Post modernistic research in theoretical physics [1]-[20] notably that connected to superstrings [21]-[25], loop quantum gravity [26] [27], fractal-Cantorian spacetime [28]-[30], M-theory [24] [30] [31] and a host of other theories [1] [2] [17]-[19] is most if not all pointing towards a rather firm fact that higher dimensionality and fractal geometry can be used to simulate relativity as well as quantum mechanics and possibly replace them, at least partially and at a minimum in basic situations where relativity and quantum mechanics are both relevant in equal measure [1]-[4] [32] [33]. At the same time it is an educated guess that M-theory is real and R(11) is probably one of the best ways to describe theoretical high energy physics but the entire cosmos To put this to a pragmatic test we calculate the vital independent components of the most important driving force in Einstein’s relativity, namely the Riemann tensor. For two important reasons the preceding rough result is truly striking First it is quite close, very close to highly accurate cosmic measurements and observations connected to the famous COBE, WMAP and Type 1a Supernova [33] [39] which was awarded the Nobel Prize in Physics or Cosmology in 2011.
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